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A survey on a sample of 500 new cars being sold at showroom conducted to see which of two popular options – Air Condition and Power Windows – were already installed. 40 cars had air conditioning and power windows. 210 cars had only power windows and 240 cars had only air conditioning. Then, what is the number of cars that had none of the options?

A survey on a sample of 500 new cars being sold at showroom conducted to see which of two popular options – Air Condition and Power Windows – were already installed. 40 cars had air conditioning and power windows. 210 cars had only power windows and 240 cars had only air conditioning. Then, what is the number of cars that had none of the options? Correct Answer 10

Given:

Total Cars = 500

Cars having facilities of Air conditioning and Power Windows = 40

Cars having facilities of only Power windows = 210

Cars having facilities of only Air conditioning = 240

Concept:

Venn Diagram.

Calculation:

[ alt="F1 Sumit.L nikhil 7-5-2021 D10" src="//storage.googleapis.com/tb-img/production/21/05/F1_Sumit.L_nikhil_7-5-2021_D10.png" style="width: 291px; height: 160px;">

Cars having facilities of Air conditioning and Power Windows = 40

Cars having facilities of only Power windows = 210

Cars having facilities of only Air conditioning = 240

Cars had Air Conditioning = 240 + 40 = 280

Cars had Power Windows = 210 + 40 = 250

∴ The number of cars that had none of the options = 500 – [240 + 40 + 210)

⇒ 500 – 490

⇒ 10

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